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Finding the Fourth Proportional to 491.87, 678.76 and 282.06

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Solution

The fourth proportional to 491.87, 678.76 and 282.06 is: 389.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.87 : 678.76 = 282.06 : x
  2. Step 2: Convert to fraction form
    491.87/678.76 = 282.06/x
  3. Step 3: Cross multiply
    491.87x = 678.76 × 282.06
  4. Step 4: Simplify right side
    491.87x = 191,448.43
  5. Step 5: Solve for x
    x = 191,448.43/491.87
  6. Step 6: Final answer
    x = 389.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.